The elongated triangular gyrobicupola is a convex equilateral solid that is Johnson solid
The unit elongated triangular gyrobicupola has volume
(1)
and Dehn invariant
where the first expression uses the basis of Conway et al. (1999). It can be dissected into the elongated
triangular orthobicupola , from which it differs only by relative rotation
of the top and bottom cupolas .
See also Johnson Solid
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References Conway, J. H.; Radin, C.; and Sadun, L. "On Angles Whose Squared Trigonometric Functions Are Rational." Discr. Computat. Geom. 22 ,
321-332, 1999. Johnson, N. W. "Convex Polyhedra with Regular
Faces." Canad. J. Math. 18 , 169-200, 1966. Referenced
on Wolfram|Alpha Elongated Triangular Gyrobicupola
Cite this as:
Weisstein, Eric W. "Elongated Triangular Gyrobicupola."
From MathWorld https://mathworld.wolfram.com/ElongatedTriangularGyrobicupola.html
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